The new number 200 is 400 less than the original number what is the approximate per percent change
Answers
Answer:
200+400=600
400/600=2/3=66.6%
Related Questions
what do you notice concerning the values of cos(a-B) and cosa×cosB +sina×sinB
Answers
Answer:
This is the sum and difference identity for cosine difference
cos(a - B) = cosa × cosB + sina × sinB
This identity is known as the cosine of a difference formula, and it is used to find the cosine of the difference between two angles.
One thing to notice about this identity is that it involves the product of the cosine of one angle and the cosine of another angle, as well as the product of the sine of one angle and the sine of another angle. This suggests that the values of cos(a-B) and cosa × cosB + sina × sinB are related to each other in a way that involves both the cosine and sine functions.
Another thing to notice is that this identity is a useful tool for simplifying trigonometric expressions that involve the difference of two angles. By using this identity, we can rewrite the expression in terms of the cosine and sine of the individual angles, which can make it easier to work with and evaluate.
QUESTION 3
Solve the following using the correct order of operations
70+(3-11)/6+8x42
Answers
Answer:
≈ 404.6666667
Step-by-step explanation:
70 - 8 ÷ 6 + 8 x 42
70 - 1.33333333 + 8 x 42
70 - 1.33333333 + 336
68.6666667 + 336
404.6666667
Elly's hot dog emporium is famous for its chili dogs. Some customers order the hot dogs with hot peppers, while many do not care for that added bit of zest. Elly's latest sales indicate that 30% of the customers ordering her chili dogs order it with hot peppers. Suppose 18 customers are selected at random. What is the probability that between two and six people inclusive want hot peppers?
Answers
Answer:
here you go
Step-by-step explanation:
Where is the circumcenter of this obtuse triangle located? A inside the triangle B outside the triangle C on a side of the triangle D at a vertex of the triangle
Answers
Answer: B) Outside the triangle
Step-by-step explanation:
The circumcenter of a obtuse triangle is always outside of the triangle
Classify –14. Select all terms that apply.
А
real number
B.
whole number
С
integer
D
rational number
E
irrational number
Answers
Answer:
14 is real number the A no . answer
Point C has a coordinate of (-4, -6) and point D has a coordinate of (1, -6), how far are they apart?
Answers
The distance between points C and D is given as follows:
5 units.
How to calculate the distance between two points?Suppose that we have two points of the coordinate plane, and the ordered pairs have coordinates \((x_1,y_1)\) and \((x_2,y_2)\).
The shortest distance between them is given by the equation presented as follows, derived from the Pythagorean Theorem:
\(D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)
The coordinates for this problem are given as follows:
(-4, -6) and (1, -6).
Hence the distance is given as follows:
\(D = \sqrt{(-4 - 1)^2 + (-6 - (-6))^2}\)
D = 5 units.
More can be learned about the distance between two points at https://brainly.com/question/7243416
#SPJ1
The input-output diagram represents F(x) = x+2.What is the missing output value?A. 7B. 5C. 8D. 6
Answers
Given
\(F(x)=x+2\)To find the missing value in the diagram.
Now,
From the diagram the value of x is 5.
Then, substitute the value of x in the given equation.
That implies,
\(\begin{gathered} F(5)=5+2 \\ =7 \end{gathered}\)Hence, the missing value is 7.
Which inequality’s have the same solution set graphed on the number line? Select two options.
Answers
Answer:
x < -4-4 > xExplanation:
Both of these inequalities are describing that the value of x is less than negative four, as observable by the solution set graphed on the number line.
salesperson earns $345 for selling $2300 in merchendice find the commison rate
Answers
Answer:
The commission rate is 15%
Step-by-step explanation:
commission = commission rate x sales
where the commission rate is expressed as a decimal.
In this case, the salesperson earned a commission of $345 for selling $2,300 in merchandise. Therefore, we have:
345 = commission rate x 2300
To solve for the commission rate, we can divide both sides by 2300:
commission rate = 345/2300
Simplifying this expression, we get:
commission rate = 0.15
So, the commission rate is 15%
Find an expression for the nth term of the arithmetic sequence.
2, 8, 14, 20, 26, . . .
Answers
Answer:
44
Step-by-step explanation:
Math boi
The coach of a college basketball team categorizes the number of points
scored by the team in each game, with the categories being 51-57, 58 - 64,
65-71, and 72 or more. If the following data represent the numbers of
points scored in the last 10 games, how many games were in the 51 - 57
category?
51, 70, 63, 59, 56, 75, 60, 55, 67, 64
A. 2
B. 4
C. 1
D. 3
Answers
We can see that there are a total of 3 games that fall into the 51-57 category (games 1, 5, and 8). Therefore, the answer to the question is D. 3 games were in the 51-57 category. The correct option is D.
To solve this problem, we need to first determine which category each game falls into based on the given categories.
Game 1: 51 points - falls into the 51-57 category
Game 2: 70 points - falls into the 72 or more category
Game 3: 63 points - falls into the 58-64 category
Game 4: 59 points - falls into the 58-64 category
Game 5: 56 points - falls into the 51-57 category
Game 6: 75 points - falls into the 72 or more category
Game 7: 60 points - falls into the 58-64 category
Game 8: 55 points - falls into the 51-57 category
Game 9: 67 points - falls into the 65-71 category
Game 10: 64 points - falls into the 58-64 category
Now, we can see that there are a total of 3 games that fall into the 51-57 category (games 1, 5, and 8). Therefore, the answer to the question is D. 3 games were in the 51-57 category.
It's important to note that categorizing the data in this way is helpful for analyzing trends and patterns in the team's scoring over time, but it does not provide a complete picture of the team's performance in each game.
It's also worth considering other factors such as the team's opponents, the location of the game, and any injuries or other circumstances that may have affected the outcome.
For more such questions on games
https://brainly.com/question/908343
#SPJ11
Please help with this math question!
Answers
Answer:
5. Proofs attached to answer
Step-by-step explanation:
Proofs attached to answer
Which equation is parallel to y=-3 x + 4 and passes through the point (-3, 4)?1. y-X+52. y=-3 x + 153. y = 5 x + 34. y = -3 x-5
Answers
The equation parallel to y = -3x + 4 has the same slope which is -3.
Recall that the general equation of a line is represented as :
\(y\text{ = mx +c}\)Where m is the slope of the line
Since the line passes through (-3, 4), we can use the slope formula to find the required equation.
The slope formula is:
\(\text{slope = }\frac{y_2-y_1}{x_2-x_1}\)Substituting we have:
\(\begin{gathered} -3\text{ = }\frac{y-4}{x-(-3)} \\ y-4\text{ = -3(x + 3)} \\ y\text{ = -3x -9 + 4} \\ y\text{ = -3x -5} \end{gathered}\)Answer: Option 4
If the radius of a circle is decreased by 20%, find the percentage decrease in its area.
Answers
Answer:
36%
Step-by-step explanation:
Area of circle is
\(\pi {r}^{2} \)
If the radius is decreased by 20%. Then the radius will be
80% of the original radius.
So our radius is 0.8.
So our area is
\(\pi(0.8r) {}^{2} \)
\(\pi(0.64 {r}^{2} )\)
Since pi is constant, the radius only really matters.
We went from
\(1 {r}^{2} \)
to
\(0.64 {r}^{2} \)
So our area will decrease by 36%
Proof: Let the radius be 10.
So the area of circle will be
\(\pi(10) {}^{2} = 100\pi\)
Let our other radius is 8 because 8 is a 20% decrease of the orginal radius
\(\pi(8) {}^{2} = 64\pi\)
Next, we subtract the area to find decrease in area
\(100\pi - 64\pi = 36\pi\)
Since pi is constant, we can ignore it so our decrease in area is 36%
HELP NEED ASAP PLS HELP
Answers
Answer:
MN = 56
Step-by-step explanation:
This can only be solved if we know the relation of MN to other dimensions of the trapezoid. If we assume MN is a midline (AM=MD, BN=NC), then MN is the average of the base lengths:
MN = (AB +CD)/2
2MN = AB +CD . . . . . multiply by 2
2(12x -4) = 8x +72 . . . fill in the given values for the segment lengths
24x -8 = 8x +72 . . . . . eliminate parentheses
16x = 80 . . . . . . . . . . . add 8-8x
x = 5 . . . . . . . . . . . . . . divide by 16
MN = 12(5) -4 = 56 . . . find the length of MN using its formula
Fill in the blanks to solve 6 \times 5{,}0006×5,0006, times, 5, comma, 000.
6\times5{,}0006×5,0006, times, 5, comma, 000 ==equals 6 \times 5 \times 1{,}0006×5×1,0006, times, 5, times, 1, comma, 000
6\times5{,}0006×5,0006, times, 5, comma, 000 ==equals
{} \times {} 1{,}000×1,000times, 1, comma, 000
6\times5{,}0006×5,0006, times, 5, comma, 000 ==equals
Answers
The computation shows that 6 × 5000 = 3000.
How to multiply the value?Based on the information given, the steps to put in the box will be
Step 1. 6×5×1000
Step 2. 30×1000
Step 3. 30,000
Therefore, the computation shows that 6 × 5000 = 3000.
Learn more about computations on:
https://brainly.com/question/4658834
#SPJ1
Fill in the blanks to solve 6 x 5,000.
6 x 5,000
Step 1. 6 x 5 x __
Step 2. 30 x __
Step 3. __
Use the given line below to answer parts 1, 2, and 3. Include your work in your final answer. Type your answer in the box provided to submit your solution. Part 1: Use the graph to count the slope of the line that passes through the points (2, 1) and (2, 0). Part 2: In two or more complete sentences, explain why it is not possible to write the equation of the given line in the traditional version of the point-slope form of a line.
Answers
Answer:
ALGEBRA 2
Brian C. asked • 03/28/16
Need help help with this algebra 2 question.
Part 1: Find the slope of the line that passes through the points (2, 1) and (2, 0).
Part 2: In two or more complete sentences, explain why it is not possible to write the equation of the given line in the traditional version of the slope-intercept form of a line.
Part 3: Write the equation of the line that passes through the points (2, 1) and (2, 0).
Follow2
Add comment
More
1 Expert Answer
By:
Best
Arthur D. answered • 03/28/16
TUTOR 4.9 (101)
Mathematics Tutor With a Master's Degree In Mathematics
ABOUT THIS TUTOR ›
slope=rise/run
slope=(1-0)/(2-2)=1/0
there is no slope because of the 0 in the denominator
y=mx+b is the slope-intercept form but there is no slope and no y-intercept
the equation of the line is x=2, which is a vertical line parallel to the y-axis
y can be any number and x will always be 2 (2,y)
what amount of money can we obtain using the coins we have
Answers
Answer:
bitcoin
Step-by-step explanation:
Answer:
Step-by-step explanation:
The compound shape below is formed from rectangle ABDE and right-angled triangle BCD. What is the area of this shape? Give your answer in cm² and give any decimal answers to 1 d.p. 8 cm 3 cm 8 E 3 cm D 17 cm Not drawn accurately
Answers
The area of the compound shape is 84 cm squared.
How to find the area of a compound shape?A compound shape is a shape that has two or more shapes in it. Therefore, the sum of the individual area is the area of the compound shape.
Therefore,
area of the compound shape = area of the rectangle + area of the triangle
area of the rectangle = 3 × 8
area of the rectangle = 24 cm²
Let's find the base of the triangle using Pythagoras's theorem.
Hence,
17² - 8² = b²
b = √289 - 64
b = √225
b = 15 cm
Therefore,
area of the triangle = 1 / 2 × 15 × 8
area of the triangle = 60 cm²
Finally,
area of the compound shape = 60 + 24
area of the compound shape = 84 cm²
learn more on area here: https://brainly.com/question/30964637
#SPJ1
Aleks topic please help
Answers
Answer:
Item price now= 3.95
Step-by-step explanation:
To find out the price now, we will subtract 79 (original price) by 95% of 75. That will equal the discounted price. Finding the percentage of anything, we can use the formula, Total amount•percentage/100. The total amount is 79, and the percentage is 95. 79•95=7505, 7505/100=75.05. Now, 95% of 79 is 75.05, 79-75.05=3.95. $3.95 is the price now of the item. Though, I am unsure what a ALEKS calculator is. Have a nuce time, and joyful day
A triangle that contains angles of 35° , 90°, and 55° is a (n)____ triangle.
Answers
Hi there!
How are you?
Answer:
Right Triangle
Step-by-step explanation:
A triangle that contains angles of 35°, 90°, and 55° is a RIGHT triangle.
Since one of the angles is 90 degrees (right angle) and the other two angles are less than 90 degrees (acute angles) it is a right triangle because it cousins of right angle.
Have a good day/night!
Answer:
Right angled triangle
Step-by-step explanation:
The triangle is a right angled one because it has a 90 degrees angle and a right angle is equal to 90 degrees. Thus it is a right angles triangle.
HOPE IT HELPED
PLS HELP ME ASAP !!!
Answers
The probability that she picks a blue marble three times in a row is 1/125.
Given that
Samantha has a bag of 5 different colored marbles.
She randomly picks a marble from the bag, records the color, and returns it to the bag before picking another marble.
We have to determine
What is the probability that she picks a blue marble three times in a row?
According to the question
Samantha has a bag of 5 different colored marbles.
She randomly picks a marble from the bag, records the color, and returns it to the bag before picking another marble.
The probability of picking a bag one time is,
Number of bag pack at a time
Total number of bag
=1/5
The probability of picking a bag second time is,
Number of bag pack at a time Total number of bag
=1/5
The probability of picking a bag third time is,
Number of bag pack at a time
Total number of bag
=1/5
031%
Therefore,
The probability that she picks a blue marble three times in a row is,
= 1/5 X 1/5 X 1/5
1 /125
Hence, the probability that she picks a blue marble three times in a row is 1/125.
To know more about Probability click the link given below.
https://brainly.com/question/11441437
Step-by-step explanation:
hope this helps
PLS HELP
The elevation of city A is 96 feet below sea level; the elevation of city C is 24 feet below sea level. The elevation of city D is 1 over 4 of the elevation of city C.
Part A: Write an expression to represent the elevation, in feet, of city D. (5 points)
Part B: Solve the expression and explain why the answer is negative or positive. (5 points)
HURRY PLS
Answers
(A) The expression to represent the elevation level of city D, in feet will be : \(D = \frac{1}{4} * [C]\)
(B) The elevation of city D will be -6 feet. The negative here shows that city D is below sea level.
In the question, it is given that city A is 96 feet below sea level, city C is 24 feet below sea level, and the elevation of city D is 1 over 4th of the elevation of C. Since, City A & C are both below sea level their elevation will be negative. So, by these we get elevations:
For City A, A = -96
City C, C = -24
City D, \(D = \frac{1}{4} *[C]\) ----> Equation (1)
By Equation (1) we get the representation of elevation for City D.
Now, Calculating the elevation of city D, we will put the value of city C in equation (1).
=> \(D = \frac{1}{4} *[-24]\)
=> \(D = -6\\\)
The negative sign here shows that the elevation is below sea level for city D.
Hence, the expression representing the elevation of city D will be \(D = \frac{1}{4} * [C]\) and, the elevation of city D will be -6.
To know more about Elevation word problems, Click here :
https://brainly.in/question/24333305
#SPJ1
Jevon has joined a gym. The membership has an initial fee of $50.00 and costs $10.00 per month
This table shows the linear relationship between the total cost, y, and the number of months Jevon is a member of the gym, X.
Fill in each box to correctly model the relationship between x and y.
Months, x
5
10
20
Total cost, y
25
$100.00
$
$200.00
$
$300.00
Answers
Answer: Months, x : 15 Total cost, y: $150.00 and $250.00
Step-by-step explanation:
The amount should be like Months, x : 15 Total cost, y: $150.00 and $250.00
Important information: The membership has an initial fee of $50.00 and costs $10.00 per monthThis table shows the linear relationship between the total cost, y, and the number of months Jevon is a member of the gymCalculation:The months should be 15
Total cost should be $150 and $250
Learn more about the cost here: https://brainly.com/question/24362848
I do not remember how to solve this
Answers
Answer:
Your answer is correct
Step-by-step explanation:
Use the rules of exponents to simplify the expression.
(q⁶)²To raise a power to another power, multiply the exponents.
q⁶ˣ²Multiply 6 by 2.
q¹²The correct option is the third.
Skandarwhich describes the correct order of steps for constructing an angle bisector of ABC using only a straightedge and compass
Answers
Constructing an angle bisector using only a straightedge and compass involves drawing the Angle, creating two arcs that intersect the angle, and using those arcs to create a line segment that bisects the angle.
To construct an angle bisector using a straightedge and compass, there are several steps that you need to follow. The correct order of steps for constructing an angle bisector of ABC using only a straightedge and compass are listed below:
Step 1: Draw the angle ABC with a straightedge.
Step 2: Place the point of the compass on point B and swing an arc that intersects both lines that make up the angle. Label the two points where the arc intersects the angle as points D and E.
Step 3: Without changing the compass width, place the point of the compass on point D and swing an arc that intersects the ray that extends from point B. Label the point of intersection as point F.
Step 4: Without changing the compass width, place the point of the compass on point E and swing an arc that intersects the ray that extends from point B. Label the point of intersection as point G.
Step 5: Draw the line segment FG with a straightedge. This line segment is the angle bisector of angle ABC.
In summary, constructing an angle bisector using only a straightedge and compass involves drawing the angle, creating two arcs that intersect the angle, and using those arcs to create a line segment that bisects the angle. Following these steps will allow you to construct the angle bisector of ABC accurately.
For more questions on Angle.
https://brainly.com/question/31615777
#SPJ8
find the value of x
Answers
Given
Two parallel lines with corresponding angles as 2x+ 21 and 147
Answer
Since angles are equal
2x+21 = 147
2x= 147 - 21
2x = 126
x=126/2
x= 63
The graph models the value of an automobile over a 7 year period of time.
Which equation best represents the relationship between x, the age of the automobile in years, and y, the value of the automobile in dollars
Answers
Answer:
y=-500x+22,000
Step-by-step explanation:
It's this one because the 22,000 shows the initial value of the automobile and -500x is how much value the automobile loses per year.
Answer:
Y = mx + c
C = 22,000
But slope is unknown
Y= mx + 22000
a bookshop has three times as many magazines as books. there are 2244 magazines. what equation can you use to find how many books, b, there are ? how many books are there? how many books and magazines are there altogether? what equation can you use to find the answer?
Answers
Let x be the number of books. Since the bookshop has three times as many magazines as books this means that we have the following number of books:
\(\frac{2244}{3}=x\)Therefore we have 748 books in the store.
The total number of magazines and books are:
\(x+2244\)Since, x=748, then we have:
\(x+2244=748+2244=2992\)Therefore, we have a total of 2992 magazines and books.
Let y be the equation to find both magazines and books, then:
\(y=748+2244\)Use linear approximation, i.e. the tangent line, to approximate 3√ 125.2 as follows: Let f(x)=√x. The equation of the tangent line to f(x) at x = 125 can be written in the form
y=mx+b
Answers
Using linear approximation, the expression √125.2 can be approximated as approximately 10.02.
How to find linear approximation?To find the equation of the tangent line to the function f(x) = √x at x = 125, determine the slope (m) and the y-intercept (b) of the tangent line.
First, find the slope (m) using the derivative of the function f(x) = √x:
f'(x) = 1 / (2√x)
Evaluate the derivative at x = 125:
f'(125) = 1 / (2√125) = 1 / (2 × 5) = 1/10
Now, find the y-coordinate of the point on the function f(x) at x = 125:
f(125) = √125 = 5
So, the tangent line at x = 125 passes through the point (125, 5) and has a slope of 1/10.
Using the point-slope form of a linear equation, the equation of the tangent line can be written as:
y - 5 = (1/10)(x - 125)
To simplify, multiply through by 10:
10y - 50 = x - 125
Rearranging the equation, express it in the form y = mx + b:
y = (1/10)x - 75/10 + 5
Simplifying further:
y = (1/10)x - 75/10 + 50/10
Combining the terms:
y = (1/10)x - 25/10
Therefore, the equation of the tangent line to f(x) = √x at x = 125 is y = (1/10)x - 25/10.
Now, use this tangent line to approximate the value of √125.2:
Substitute x = 125.2 into the equation:
y = (1/10)(125.2) - 25/10
y = 12.52 - 2.5
y ≈ 10.02
So, using linear approximation, approximate √125.2 as approximately 10.02.
Find out more on linear approximation here: https://brainly.com/question/30403460
#SPJ1